<PAGE>
 
                                                                      EXHIBIT 24

                               POWER OF ATTORNEY

    WHEREAS, ENSERCH Corporation, a Texas corporation (the "Corporation"),
intends to file with the Securities and Exchange Commission (the "Commission")
under the Securities Exchange Act of 1934, as amended, an Annual Report on Form
10-K for the year ended December 31, 1996, with such amendment or amendments
thereto in each case as may be necessary or appropriate, together with any and
all exhibits and other documents having relation to said Form 10-K;

    NOW, THEREFORE, the undersigned in his capacity as a director of the
Corporation, does hereby appoint D. W. Biegler, W. T. Satterwhite or M. E.
Rescoe, and each of them severally, his true and lawful attorney or attorneys
with power to act with or without the other and with full power of substitution
and resubstitution, to execute in his name, place and stead in his capacity as a
director of the Corporation, said Form 10-K and any and all amendments thereto
and all instruments necessary or incidental in connection therewith and to file
the same with the Commission.  Each of said attorneys shall have full power and
authority to do and perform in the name and on behalf of the undersigned in any
and all capacities every act whatsoever necessary or desirable to be done in the
premises as fully and to all intents and purposes as the undersigned might or
could do in person, the undersigned hereby ratifying and approving the acts of
said attorneys and each of them.

    IN WITNESS WHEREOF, the undersigned has executed this instrument on this
18th day of March, 1997.



                                        /s/ B. A. Bridgewater, Jr.
                                        ----------------------------------------
                                            B. A. Bridgewater, Jr.
<PAGE>
 
                               POWER OF ATTORNEY


    WHEREAS, ENSERCH Corporation, a Texas corporation (the "Corporation"),
intends to file with the Securities and Exchange Commission (the "Commission")
under the Securities Exchange Act of 1934, as amended, an Annual Report on Form
10-K for the year ended December 31, 1996, with such amendment or amendments
thereto in each case as may be necessary or appropriate, together with any and
all exhibits and other documents having relation to said Form 10-K;

    NOW, THEREFORE, the undersigned in his capacity as a director of the
Corporation, does hereby appoint D. W. Biegler, W. T. Satterwhite or M. E.
Rescoe, and each of them severally, his true and lawful attorney or attorneys
with power to act with or without the other and with full power of substitution
and resubstitution, to execute in his name, place and stead in his capacity as a
director of the Corporation, said Form 10-K and any and all amendments thereto
and all instruments necessary or incidental in connection therewith and to file
the same with the Commission.  Each of said attorneys shall have full power and
authority to do and perform in the name and on behalf of the undersigned in any
and all capacities every act whatsoever necessary or desirable to be done in the
premises as fully and to all intents and purposes as the undersigned might or
could do in person,  the undersigned hereby ratifying and approving the acts of
said attorneys and each of them.

    IN WITNESS WHEREOF, the undersigned has executed this instrument on this
20th day of March, 1997.



                                        /s/ Odie C. Donald
                                        ----------------------------------------
                                            Odie C. Donald
<PAGE>
 
                               POWER OF ATTORNEY


    WHEREAS, ENSERCH Corporation, a Texas corporation (the "Corporation"),
intends to file with the Securities and Exchange Commission (the "Commission")
under the Securities Exchange Act of 1934, as amended, an Annual Report on Form
10-K for the year ended December 31, 1996, with such amendment or amendments
thereto in each case as may be necessary or appropriate, together with any and
all exhibits and other documents having relation to said Form 10-K;

    NOW, THEREFORE, the undersigned in his capacity as a director of the
Corporation, does hereby appoint D. W. Biegler, W. T. Satterwhite or M. E.
Rescoe, and each of them severally, his true and lawful attorney or attorneys
with power to act with or without the other and with full power of substitution
and resubstitution, to execute in his name, place and stead in his capacity as a
director of the Corporation, said Form 10-K and any and all amendments thereto
and all instruments necessary or incidental in connection therewith and to file
the same with the Commission.  Each of said attorneys shall have full power and
authority to do and perform in the name and on behalf of the undersigned in any
and all capacities every act whatsoever necessary or desirable to be done in the
premises as fully and to all intents and purposes as the undersigned might or
could do in person,  the undersigned hereby ratifying and approving the acts of
said attorneys and each of them.

    IN WITNESS WHEREOF, the undersigned has executed this instrument on this
18th day of March, 1997.



                                        /s/ Marvin J. Girouard
                                        ----------------------------------------
                                            Marvin J. Girouard
<PAGE>
 
                               POWER OF ATTORNEY


    WHEREAS, ENSERCH Corporation, a Texas corporation (the "Corporation"),
intends to file with the Securities and Exchange Commission (the "Commission")
under the Securities Exchange Act of 1934, as amended, an Annual Report on Form
10-K for the year ended December 31, 1996, with such amendment or amendments
thereto in each case as may be necessary or appropriate, together with any and
all exhibits and other documents having relation to said Form 10-K;

    NOW, THEREFORE, the undersigned in his capacity as a director of the
Corporation, does hereby appoint D. W. Biegler, W. T. Satterwhite or M. E.
Rescoe, and each of them severally, his true and lawful attorney or attorneys
with power to act with or without the other and with full power of substitution
and resubstitution, to execute in his name, place and stead in his capacity as a
director of the Corporation, said Form 10-K and any and all amendments thereto
and all instruments necessary or incidental in connection therewith and to file
the same with the Commission.  Each of said attorneys shall have full power and
authority to do and perform in the name and on behalf of the undersigned in any
and all capacities every act whatsoever necessary or desirable to be done in the
premises as fully and to all intents and purposes as the undersigned might or
could do in person, the undersigned hereby ratifying and approving the acts of
said attorneys and each of them.

    IN WITNESS WHEREOF, the undersigned has executed this instrument on this
19th day of March, 1997.



                                        /s/ Joseph M. Haggar, Jr.
                                        ----------------------------------------
                                            Joseph M. Haggar, Jr.
<PAGE>
 
                               POWER OF ATTORNEY


    WHEREAS, ENSERCH Corporation, a Texas corporation (the "Corporation"),
intends to file with the Securities and Exchange Commission (the "Commission")
under the Securities Exchange Act of 1934, as amended, an Annual Report on Form
10-K for the year ended December 31, 1996, with such amendment or amendments
thereto in each case as may be necessary or appropriate, together with any and
all exhibits and other documents having relation to said Form 10-K;

    NOW, THEREFORE, the undersigned in his capacity as a director of the
Corporation, does hereby appoint D. W. Biegler, W. T. Satterwhite or M. E.
Rescoe, and each of them severally, his true and lawful attorney or attorneys
with power to act with or without the other and with full power of substitution
and resubstitution, to execute in his name, place and stead in his capacity as a
director of the Corporation, said Form 10-K and any and all amendments thereto
and all instruments necessary or incidental in connection therewith and to file
the same with the Commission.  Each of said attorneys shall have full power and
authority to do and perform in the name and on behalf of the undersigned in any
and all capacities every act whatsoever necessary or desirable to be done in the
premises as fully and to all intents and purposes as the undersigned might or
could do in person, the undersigned hereby ratifying and approving the acts of
said attorneys and each of them.

    IN WITNESS WHEREOF, the undersigned has executed this instrument on this
21st day of March, 1997.



                                        /s/ Thomas W. Luce, III
                                        ----------------------------------------
                                            Thomas W. Luce, III
<PAGE>
 
                               POWER OF ATTORNEY


    WHEREAS, ENSERCH Corporation, a Texas corporation (the "Corporation"),
intends to file with the Securities and Exchange Commission (the "Commission")
under the Securities Exchange Act of 1934, as amended, an Annual Report on Form
10-K for the year ended December 31, 1996, with such amendment or amendments
thereto in each case as may be necessary or appropriate, together with any and
all exhibits and other documents having relation to said Form 10-K;

    NOW, THEREFORE, the undersigned in his capacity as a director of the
Corporation, does hereby appoint D. W. Biegler, W. T. Satterwhite or M. E.
Rescoe, and each of them severally, his true and lawful attorney or attorneys
with power to act with or without the other and with full power of substitution
and resubstitution, to execute in his name, place and stead in his capacity as a
director of the Corporation, said Form 10-K and any and all amendments thereto
and all instruments necessary or incidental in connection therewith and to file
the same with the Commission.  Each of said attorneys shall have full power and
authority to do and perform in the name and on behalf of the undersigned in any
and all capacities every act whatsoever necessary or desirable to be done in the
premises as fully and to all intents and purposes as the undersigned might or
could do in person, the undersigned hereby ratifying and approving the acts of
said attorneys and each of them.

    IN WITNESS WHEREOF, the undersigned has executed this instrument on this
18th day of March, 1997.



                                        /s/ W. C. McCord
                                        ----------------------------
                                        W. C. McCord
<PAGE>
 
                               POWER OF ATTORNEY


    WHEREAS, ENSERCH Corporation, a Texas corporation (the "Corporation"),
intends to file with the Securities and Exchange Commission (the "Commission")
under the Securities Exchange Act of 1934, as amended, an Annual Report on Form
10-K for the year ended December 31, 1996, with such amendment or amendments
thereto in each case as may be necessary or appropriate, together with any and
all exhibits and other documents having relation to said Form 10-K;

    NOW, THEREFORE, the undersigned in her capacity as a director of the
Corporation, does hereby appoint D. W. Biegler, W. T. Satterwhite or M. E.
Rescoe, and each of them severally, her true and lawful attorney or attorneys
with power to act with or without the other and with full power of substitution
and resubstitution, to execute in her name, place and stead in her capacity as a
director of the Corporation, said Form 10-K and any and all amendments thereto
and all instruments necessary or incidental in connection therewith and to file
the same with the Commission.  Each of said attorneys shall have full power and
authority to do and perform in the name and on behalf of the undersigned in any
and all capacities every act whatsoever necessary or desirable to be done in the
premises as fully and to all intents and purposes as the undersigned might or
could do in person, the undersigned hereby ratifying and approving the acts of
said attorneys and each of them.

    IN WITNESS WHEREOF, the undersigned has executed this instrument on this
19th day of March, 1997.



                                        /s/ Diana S. Natalicio
                                        ----------------------------------------
                                            Diana S. Natalicio
<PAGE>
 
                               POWER OF ATTORNEY


    WHEREAS, ENSERCH Corporation, a Texas corporation (the "Corporation"),
intends to file with the Securities and Exchange Commission (the "Commission")
under the Securities Exchange Act of 1934, as amended, an Annual Report on Form
10-K for the year ended December 31, 1996, with such amendment or amendments
thereto in each case as may be necessary or appropriate, together with any and
all exhibits and other documents having relation to said Form 10-K;

    NOW, THEREFORE, the undersigned in his capacity as an officer of the
Corporation, does hereby appoint D. W. Biegler or W. T. Satterwhite, and each of
them severally, his true and lawful attorney or attorneys with power to act with
or without the other and with full power of substitution and resubstitution, to
execute in his name, place and stead in his capacity as an officer of the
Corporation, said Form 10-K and any and all amendments thereto and all
instruments necessary or incidental in connection therewith and to file the same
with the Commission.  Each of said attorneys shall have full power and authority
to do and perform in the name and on behalf of the undersigned in any and all
capacities every act whatsoever necessary or desirable to be done in the
premises as fully and to all intents and purposes as the undersigned might or
could do in person, the undersigned hereby ratifying and approving the acts of
said attorneys and each of them.

    IN WITNESS WHEREOF, the undersigned has executed this instrument on this
18th day of March, 1997.



                                        /s/ M. E. Rescoe
                                        ----------------------------------------
                                            M. E. Rescoe
<PAGE>
 
                               POWER OF ATTORNEY


    WHEREAS, ENSERCH Corporation, a Texas corporation (the "Corporation"),
intends to file with the Securities and Exchange Commission (the "Commission")
under the Securities Exchange Act of 1934, as amended, an Annual Report on Form
10-K for the year ended December 31, 1996, with such amendment or amendments
thereto in each case as may be necessary or appropriate, together with any and
all exhibits and other documents having relation to said Form 10-K;

    NOW, THEREFORE, the undersigned in his capacity as an officer of the
Corporation, does hereby appoint D. W. Biegler, W. T. Satterwhite or M. E.
Rescoe, and each of them severally, his true and lawful attorney or attorneys
with power to act with or without the other and with full power of substitution
and resubstitution, to execute in his name, place and stead in his capacity as
an officer of the Corporation, said Form 10-K and any and all amendments thereto
and all instruments necessary or incidental in connection therewith and to file
the same with the Commission.  Each of said attorneys shall have full power and
authority to do and perform in the name and on behalf of the undersigned in any
and all capacities every act whatsoever necessary or desirable to be done in the
premises as fully and to all intents and purposes as the undersigned might or
could do in person, the undersigned hereby ratifying and approving the acts of
said attorneys and each of them.

    IN WITNESS WHEREOF, the undersigned has executed this instrument on this
18th day of March, 1997.



                                        /s/ J. W. Pinkerton
                                        ----------------------------------------
                                            J. W. Pinkerton